授業の目的 【日本語】 Goals of the Course(JPN) | | The course will introduce and study Riemann surfaces from a geometric perspective, an algebraic perspective, and a complex analytic perspective. |
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授業の目的 【英語】 Goals of the Course | | The course will introduce and study Riemann surfaces from a geometric perspective, an algebraic perspective, and a complex analytic perspective. |
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到達目標 【日本語】 Objectives of the Course(JPN)) | | The goal is to obtain understand the rich theory of Riemann surfaces and to equip participants with the tools for further study. |
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到達目標 【英語】 Objectives of the Course | | The goal is to obtain understand the rich theory of Riemann surfaces and to equip participants with the tools for further study. |
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授業の内容や構成 Course Content / Plan | | The course consists of 15 lectures, each 90 minutes. |
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履修条件 Course Prerequisites | | Some knowledge of complex analysis, topology, and algebra. |
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関連する科目 Related Courses | | Complex analytic geometry and algebraic geometry. |
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成績評価の方法と基準 Course Evaluation Method and Criteria | | Grading will be based on solutions to problem sets. |
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教科書・テキスト Textbook | | Lecture notes will be made available before each lecture. |
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参考書 Reference Book | | Simon Donaldson's notes on Riemann surfaces, available at https://www.ma.imperial.ac.uk/~skdona/RSPREF.PDF. |
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課外学習等(授業時間外学習の指示) Study Load(Self-directed Learning Outside Course Hours) | | |
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注意事項 Notice for Students | | |
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他学科聴講の可否 Propriety of Other department student's attendance | | |
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他学科聴講の条件 Conditions of Other department student's attendance | | It is possible, but please contact instructor for advice. |
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レベル Level | | |
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キーワード Keyword | | Riemann surfaces, complex analytic geometry, hyperbolic geometry. |
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履修の際のアドバイス Advice | | Little is assumed in terms of prerequisites, but if in doubt, then please constact instructor via email for advice. |
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授業開講形態等 Lecture format, etc. | | The course will be given in face-to-face lecture format. |
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遠隔授業(オンデマンド型)で行う場合の追加措置 Additional measures for remote class (on-demand class) | | |
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